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wavetrain

Mathematical Modelling of Natural Phenomena (1)

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1 results

Transformation of Narrowband Wavetrains of Surface GravityWaves Passing over a Bottom Step
A. R. Giniyatullin, A. A. Kurkin, S. V. Semin, Y. A. Stepanyants
Journal:

Mathematical Modelling of Natural Phenomena / Volume 9 / Issue 5 / 2014

Published online by Cambridge University Press:

17 July 2014, pp. 73-82

Print publication:

2014
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The problem of transformation of quasimonochromatic wavetrains of surface gravity waveswith narrow spatial-temporal spectra on the bottom shelf is considered in the linearapproximation. By means of numerical modeling, the transmission and reflectioncoefficients are determined as functions of the depth ratio and wave number (frequency) ofan incident wave. The approximation formulae are proposed for the coefficients of wavetransformation. The characteristic features of these formulae are analyzed. It is shownthat the numerical results agree quite satisfactorily with the proposed approximationformulae.